Show that for measurable f ess sup f sup f show that these


If f, g are measurable functions, then ess sup (f + g) ≤ ess sup f + ess sup g.

Show that for measurable f, ess sup f ≤ sup f. Show that these quantities coincide when f is continuous. 

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Basic Statistics: Show that for measurable f ess sup f sup f show that these
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